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Math Help - Statistics -----help

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    Statistics -----help

    1))))))))The average weight of a bag of dog biscuits produced by the Good Pet
    Company is 10 kg with a standard deviation of 0.89 kg. A random sample of 48 bags was chosen from the production line.

    a What type of distribution do you believe the sampling mean will follow (explain briefly to support your argument) and what are the
    mean and standard deviation of this distribution?

    b What is the probability that the sample mean weight will be more
    than10.4kg?
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    2))))))))))The general manager of a digital products manufacturer believes that 65%
    of all potential customers prefer to buy MP3 players with over 2GB built-
    in memory. A random sample of 100 customers was chosen.

    a If the general manager抯 belief is true, what is the standard deviation
    of the sample proportion of customers that prefer to buy MP3 players with over 2GB built-in memory?

    b If the general manager抯 belief is true, what is the probability that the sample proportion of customers that prefer to buy MP3 players with over 2GB built-in memory is less than 0.75?
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    3)))))))))))))))The marketing director of a comestic corporation wishes to estimate the average monthly demand for a newly released night-cream. She claims that the average monthly demand for the night-cream should be more than 4000. She is going to perform a survey in order to test her claim. The result of the survey will be used to determine the monthly quantity to be produced in order to satisfy the corresponding demand.
    a State the null and alternative hypothesis for the above situation. Then explain the relevant meaning of Type I and Type II errors.

    b Which type of error would be more significant if the stock carrying
    cost is relatively lower than the out-of-stock cost? Explain briefly.
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    4)))))))))))))))The chief executive officer of a large corporation has recently received complaints from quite a few employees, saying that there has been unfair treatment concerning workload between male staff and female staff.
    Those employees claim that at least 60% of all the employees in the corporation have the same view. To verify the claim, 45 employees are randomly selected. Twenty-five of them expressed the view that there has been unfair treatment concerning workload between male staff and
    female staff.

    a Test whether the claim of those employees is justified or not usinga= 0.01 .

    b Use the p-value approach to test the hypothesis at the same level of significance.

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